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Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C Formula

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GoPerimeter of Parallelepiped given Volume, Side A and Side B Formula

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Perimeter of Parallelepiped is the total distance around the edge of the Parallelepiped. Check FAQs

P = 4 \cdot (S a + \frac{LSA}{2 \cdot (S a \cdot \sin (∠γ) + S c \cdot \sin (∠α))} + S c)

P - Perimeter of Parallelepiped?S_a - Side A of Parallelepiped?LSA - Lateral Surface Area of Parallelepiped?∠γ - Angle Gamma of Parallelepiped?S_c - Side C of Parallelepiped?∠α - Angle Alpha of Parallelepiped?

Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C Example

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Here is how the Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C equation looks like with Values.

Here is how the Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C equation looks like with Units.

Here is how the Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C equation looks like.

239.8916 = 4 \cdot (30 + \frac{1440}{2 \cdot (30 \cdot \sin (75) + 10 \cdot \sin (45))} + 10)

239.8916m = 4 \cdot (30m + \frac{1440m²}{2 \cdot (30m \cdot \sin (75°) + 10m \cdot \sin (45°))} + 10m)

239.8916 = 4 \cdot (30 + \frac{1440}{2 \cdot (30 \cdot \sin (75) + 10 \cdot \sin (45))} + 10)

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Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C Solution

Follow our step by step solution on how to calculate Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C?

FIRST Step Consider the formula

P = 4 \cdot (S a + \frac{LSA}{2 \cdot (S a \cdot \sin (∠γ) + S c \cdot \sin (∠α))} + S c)

Next Step Substitute values of Variables

∴

P = 4 \cdot (30m + \frac{1440m²}{2 \cdot (30m \cdot \sin (75°) + 10m \cdot \sin (45°))} + 10m)

Next Step Convert Units

∴

P = 4 \cdot (30m + \frac{1440m²}{2 \cdot (30m \cdot \sin (1.309rad) + 10m \cdot \sin (0.7854rad))} + 10m)

Next Step Prepare to Evaluate

∴

P = 4 \cdot (30 + \frac{1440}{2 \cdot (30 \cdot \sin (1.309) + 10 \cdot \sin (0.7854))} + 10)

Next Step Evaluate

∴

P = 239.891607947416m

LAST Step Rounding Answer

∴

P = 239.8916m

Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C Formula Elements

Variables

Functions

Perimeter of Parallelepiped

Perimeter of Parallelepiped is the total distance around the edge of the Parallelepiped.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Parallelepiped

Side A of Parallelepiped

Side A of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Parallelepiped

Lateral Surface Area of Parallelepiped

Lateral Surface Area of Parallelepiped is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Parallelepiped.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Parallelepiped

Angle Gamma of Parallelepiped

Angle Gamma of Parallelepiped is the angle formed by side A and side B at any of the two sharp tips of the Parallelepiped.

Symbol: ∠γ

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle Gamma of Parallelepiped

Side C of Parallelepiped

Side C of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Parallelepiped

Angle Alpha of Parallelepiped

Angle Alpha of Parallelepiped is the angle formed by side B and side C at any of the two sharp tips of the Parallelepiped.

Symbol: ∠α

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle Alpha of Parallelepiped

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Perimeter of Parallelepiped

Go Perimeter of Parallelepiped

P = 4 \cdot (S a + S b + S c)

Go Perimeter of Parallelepiped given Volume, Side A and Side B

P = 4 \cdot (S a + S b + \frac{V}{S b \cdot S a \cdot \sqrt{1 + (2 \cdot \cos (∠α) \cdot \cos (∠β) \cdot \cos (∠γ)) - ({\cos (∠α)}^{2} + {\cos (∠β)}^{2} + {\cos (∠γ)}^{2})}})

Go Perimeter of Parallelepiped given Volume, Side B and Side C

P = 4 \cdot (\frac{V}{S b \cdot S c \cdot \sqrt{1 + (2 \cdot \cos (∠α) \cdot \cos (∠β) \cdot \cos (∠γ)) - ({\cos (∠α)}^{2} + {\cos (∠β)}^{2} + {\cos (∠γ)}^{2})}} + S b + S c)

Go Perimeter of Parallelepiped given Lateral Surafce Area, Total Surface Area, Side B and Side C

P = 4 \cdot (\frac{TSA - LSA}{2 \cdot S c \cdot \sin (∠β)} + S b + S c)

How to Evaluate Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C?

Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C evaluator uses Perimeter of Parallelepiped = 4*(Side A of Parallelepiped+Lateral Surface Area of Parallelepiped/(2*(Side A of Parallelepiped*sin(Angle Gamma of Parallelepiped)+Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))+Side C of Parallelepiped) to evaluate the Perimeter of Parallelepiped, The Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C formula is defined as the total distance around the edge of the Parallelepiped, calculated using lateral surface area, side A and side C of Parallelepiped. Perimeter of Parallelepiped is denoted by P symbol.

How to evaluate Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C using this online evaluator? To use this online evaluator for Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C, enter Side A of Parallelepiped (S_a), Lateral Surface Area of Parallelepiped (LSA), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Alpha of Parallelepiped (∠α) and hit the calculate button.

FAQs on Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C

What is the formula to find Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C?

The formula of Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C is expressed as Perimeter of Parallelepiped = 4*(Side A of Parallelepiped+Lateral Surface Area of Parallelepiped/(2*(Side A of Parallelepiped*sin(Angle Gamma of Parallelepiped)+Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))+Side C of Parallelepiped). Here is an example- 239.8916 = 4*(30+1440/(2*(30*sin(1.3089969389955)+10*sin(0.785398163397301)))+10).

How to calculate Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C?

With Side A of Parallelepiped (S_a), Lateral Surface Area of Parallelepiped (LSA), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Alpha of Parallelepiped (∠α) we can find Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C using the formula - Perimeter of Parallelepiped = 4*(Side A of Parallelepiped+Lateral Surface Area of Parallelepiped/(2*(Side A of Parallelepiped*sin(Angle Gamma of Parallelepiped)+Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))+Side C of Parallelepiped). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Perimeter of Parallelepiped?

Here are the different ways to Calculate Perimeter of Parallelepiped-

Perimeter of Parallelepiped=4*(Side A of Parallelepiped+Side B of Parallelepiped+Side C of Parallelepiped)
Perimeter of Parallelepiped=4*(Side A of Parallelepiped+Side B of Parallelepiped+Volume of Parallelepiped/(Side B of Parallelepiped*Side A of Parallelepiped*sqrt(1+(2*cos(Angle Alpha of Parallelepiped)*cos(Angle Beta of Parallelepiped)*cos(Angle Gamma of Parallelepiped))-(cos(Angle Alpha of Parallelepiped)^2+cos(Angle Beta of Parallelepiped)^2+cos(Angle Gamma of Parallelepiped)^2))))
Perimeter of Parallelepiped=4*(Volume of Parallelepiped/(Side B of Parallelepiped*Side C of Parallelepiped*sqrt(1+(2*cos(Angle Alpha of Parallelepiped)*cos(Angle Beta of Parallelepiped)*cos(Angle Gamma of Parallelepiped))-(cos(Angle Alpha of Parallelepiped)^2+cos(Angle Beta of Parallelepiped)^2+cos(Angle Gamma of Parallelepiped)^2)))+Side B of Parallelepiped+Side C of Parallelepiped)

Can the Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C be negative?

No, the Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C?

Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C can be measured.

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Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C Formula

​GoPerimeter of Parallelepiped Formula

​GoPerimeter of Parallelepiped given Volume, Side A and Side B Formula

Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C Example

Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C Solution

Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C Formula Elements

Other Formulas to find Perimeter of Parallelepiped

How to Evaluate Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C?

FAQs on Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C

Variable Name

GoPerimeter of Parallelepiped Formula

GoPerimeter of Parallelepiped given Volume, Side A and Side B Formula